<PRE><B>Question 1041195</B>
sam had some money.
 He used 2/3 of it to buy a watch and 3/4 of the remainder on a wallet.
if the watch was 65 dollars more than the wallet
how much does he have left
:
let a = the original amt he had.
:
Find how much he had originally first
Watch amt - wallet amt = $65 (remainder after the watch purchase is 1/3)
{{{2/3}}}a - {{{3/4}}}*{{{1/3}}}a = 65
multiply the fractions
{{{2/3}}}a - {{{3/12}}}a = 65
reduce the fraction
{{{2/3}}}a - {{{1/4}}}a = 65
multiply by 12 cancel the denominators
4(2a) - 3a = 12(65)
8a - a = 780
5a = 780
a = 780/5
a = $156, his original amt
:
Find the cost of each item
{{{2/3}}}*156 = $104 for the watch
104 - 65 = $39 for the wallet ($65 less than the watch)
:
Find how much he had left
156 - 104 - 39 = $13 left</PRE>